Tru Physics

Tag: Fourier Transform

  • Dirichlet Conditions

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    Introduction In the context of mathematics and physics, the Dirichlet conditions, named after German mathematician Peter Gustav Lejeune Dirichlet, are a set of conditions that guarantee the existence of the Fourier series for a given function. Definition and the Dirichlet Conditions The Dirichlet conditions can be stated as follows for a function on an interval…

  • Nuclear Magnetic Resonance (NMR)

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    Introduction Nuclear Magnetic Resonance (NMR) is a powerful and theoretically complex analytical tool that exploits the magnetic properties of certain atomic nuclei. It determines the physical and chemical properties of atoms or the molecules in which they are contained. Nuclear magnetic resonance (NMR) is a method that exploits the magnetic properties of certain types of…

  • Fourier Transform

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    Introduction The Fourier transform is a mathematical technique used in a wide range of fields including physics, engineering, and signal processing. It decomposes a function or a signal into its constituent frequencies, revealing the frequency spectrum of the signal. Basic Definition For a function , the Fourier transform is defined as: Here represents a complex…